11817382032 has 160 divisors (see below), whose sum is σ = 35129180160. Its totient is φ = 3799578240.

The previous prime is 11817382021. The next prime is 11817382039. The reversal of 11817382032 is 23028371811.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11817382039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4645753 + ... + 4648295.

It is an arithmetic number, because the mean of its divisors is an integer number (219557376).

Almost surely, 2^11817382032 is an apocalyptic number.

11817382032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11817382032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17564590080).

11817382032 is an abundant number, since it is smaller than the sum of its proper divisors (23311798128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11817382032 is a wasteful number, since it uses less digits than its factorization.

11817382032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11817382032 in words is "eleven billion, eight hundred seventeen million, three hundred eighty-two thousand, thirty-two".